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Finding the Fourth Proportional to 601.21, 829.74 and 391.99

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Solution

The fourth proportional to 601.21, 829.74 and 391.99 is: 540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.21 : 829.74 = 391.99 : x
  2. Step 2: Convert to fraction form
    601.21/829.74 = 391.99/x
  3. Step 3: Cross multiply
    601.21x = 829.74 × 391.99
  4. Step 4: Simplify right side
    601.21x = 325,249.78
  5. Step 5: Solve for x
    x = 325,249.78/601.21
  6. Step 6: Final answer
    x = 540.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.